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Finding the Third Proportional to 519,523.50 and 780,798

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Solution

The third proportional to 519,523.50 and 780,798 is: 1,173,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,523.50 : 780,798 = 780,798 : x
  2. Step 2: Convert to fraction form
    519,523.50/780,798 = 780,798/x
  3. Step 3: Cross multiply
    519,523.50x = 780,798 × 780,798
  4. Step 4: Simplify right side
    519,523.50x = 609,645,516,804
  5. Step 5: Solve for x
    x = 609,645,516,804/519,523.50
  6. Step 6: Final answer
    x = 1,173,470.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.